1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mrs_skeptik [129]
2 years ago
7

At 3:00 PM a man 138 cm tall casts a shadow 149 cm long. At the same time, a tall building nearby casts a shadow 163 m long. How

tall is the building?
Mathematics
1 answer:
Andre45 [30]2 years ago
7 0

The building is 151 meters tall

<h3>How to determine the height of the building?</h3>

From the question, we have the following parameters about the building and the man

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Based on the above parameters, we have the following equivalent ratio:

Ratio = Height : Shadow

So, we have:

Man's height : Man's shadow = Building's height : Building's shadow

Substitute the known values in the above equation

138 cm : 149 cm = Building's height : 163 m

Remove the units

138 : 149 = Building's height : 163

Express as fraction

138 /149 = Building's height/163

Multiply both sides by 163

Building's height = 163 * 138 /149

Evaluate the product

Building's height = 151 m

Hence, the building is 151 meters tall

So, the complete parameters are:

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Building's height = 151 m

Read more about similar shapes at:

brainly.com/question/14285697

#SPJ1

You might be interested in
3x-2y=-6 how to find the slope,y-intercept,and x-intercept
wolverine [178]
You have to move your variables around.<span />
7 0
3 years ago
2 Kenedi has a piece of ribbon that measures
USPshnik [31]

Answer:

The length of each ribbon is 1.6 inches

Step-by-step explanation:

From the question, we are told that:

Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume

Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:

24 inches ÷ 15 pieces

= 24 ÷ 15

= 1.6 inches

Therefore, the length of each ribbon is 1.6 inches

4 0
3 years ago
A sandbox has a volume of 648 cubic feet. what is the volume, in cubic yards, of the sandbox?
Eduardwww [97]
We know that

1 cubic yards equals to--------------> 27 <span>cubic feet
then
</span><span>I apply a rule of three
if  </span>1 cubic yards ------------------- 27 ft³
  X----------------------------------> 648 ft³
X=648/27=24 cubic yards

the answer is 24 cubic yards
6 0
4 years ago
Can you help me with 12-3(x+1)=30
inysia [295]
Greetings!

12-3(x+1)=30
Distribute the Parenthesis.
12-3x-3=30
Combine like terms.
9-3x=30
Add -9 to both sides.
(15-3x)+(-9)=(30)+(-9)
-3x=21
Divide both sides by -3.
(-3x)/-3=(21)/-3
The Answer Is:
x=-7

Hope this helps.
-Benjamin
7 0
4 years ago
Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic the
yKpoI14uk [10]

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed.  There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

                        Food   Clothes  Housing  Energy  High Quality 100

                                                                                Proof  Moonshine

Farmer             0.25      0.15       0.25        0.18            0.20                    

Tailor                0.15      0.28       0.18         0.17            0.05

Carpenter        0.22      0.19       0.22        0.22           0.10

Coal Miner       0.20      0.15       0.20        0.28           0.15

Slacker Bob     0.18      0.23        0.15        0.15            0.50

Total                 1.00      1.00        1.00         1.00            1.00

6 0
3 years ago
Other questions:
  • 1. Imagine you’re planning to estimate the price of the average book at your college bookstore. The bookstore carries 13,000 tit
    12·1 answer
  • Please help click on the image below
    12·1 answer
  • Which statement about histograms is true?
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=26%20%5Cdiv%204722%20" id="TexFormula1" title="26 \div 4722 " alt="26 \div 4722 " align="absmi
    10·1 answer
  • One fifth of the twenty five people in the bakery made a preorder how many did not make a preorder
    5·1 answer
  • In a line of students. Jenna is number 8. The teacher says that a rule for a number patter is add 4. The first student in line s
    7·1 answer
  • A car drives 500 miles in 10 hours. Which rate represents the speed of the car?
    7·1 answer
  • The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
    7·1 answer
  • A woman invests $8000 in an account that earns 4.5% simple interest. If the money is invested for 5 years, how much money is in
    12·1 answer
  • 2 (34+x) + 387 = (23) x <br> what is x?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!